You're effectively saying that the "truth" problem with AI is solved by letting it guess. Which is probably a fine enough answer, but doesn't actually "solve" the problem at all.
To the points:
3) Training on data sets where the answer is never "I don't know" is effectively the same as raising children to believe they're always right and teaching them to be needlessly confident. No one should trust those folks.
4) "Lack of access to information" is not the issue... These models are trained on the entire corpus of Twitter, Wikipedia, and more information than I've ever seen in my lifetime, and some of them already do this (Bing) and produce little more than summaries of blog posts based on keywords. If anything, the issue is that an LLM lacks the real world knowledge to discern any nuance as to whether something is correct or grounded in reality.